Positions
Where the planets are
The 3D viewer works out every planet from JPL's orbital elements for the exact moment on its clock.1 From 1800 to 2050 JPL gives their nominal error in each planet's longitude round the Sun as under an arcminute, except for Jupiter and Saturn at about 7 and 10 arcminutes. The Moon comes from Meeus' lunar theory,2 so its phase, its distance and every eclipse follow the date. The clock runs from 1800 to 2200, though JPL fitted the elements only to 2050.
Astronomy mode, the planetarium built into the viewer, needs more, since arcminutes show against the stars. It uses the VSOP87 planetary theory, cut down to within 1.7 arcseconds of the full series,3 with precession, nutation, aberration, light time, parallax for your place and refraction. Then we measured it.4





